半拓扑群中的一些相对化问题

Some Relative Problems in Semitopological Groups

根据拓扑空间的相对化性质,在半拓扑群基本定义及基本理论的基础上,研究了半拓扑群的一些特殊子群在原空间中的相对分离性质,得到了一般拓扑学中不成立而在半拓扑群中成立的一些结果。

According to the relative property of topological space, based on the basic definition and theory of semi-topological group, the relative separation property of some special subgroups of semi-topological group in the original space is studied. In this paper, we obtain some results which are not true in general topology and hold in semitopological groups.